what is the simplest form of 765 over 2023
Here is a little secret about scientific calculators.
Most have a key called a b/c.
enter 765
press a b/c
enter 2023
then =
surprise !!
the answer from Reiny didn't work! The calculator won't take that big of a number using that A B/C key. I am reducing a fraction
Is it possible that your fraction is as simplified as possible?
29*645
765/2023
=(17*45)/(17*119)
= 45/119
To simplify the fraction 765/2023, you need to find the greatest common divisor (GCD) of the numerator and denominator and divide them by that common factor.
Step 1: Find the GCD of 765 and 2023.
To calculate the GCD, you can use various methods such as prime factorization or the Euclidean algorithm. Let's use the Euclidean algorithm for this example:
Divide 2023 by 765:
2023 ÷ 765 = 2 with a remainder of 493
Divide 765 by 493:
765 ÷ 493 = 1 with a remainder of 272
Divide 493 by 272:
493 ÷ 272 = 1 with a remainder of 221
Divide 272 by 221:
272 ÷ 221 = 1 with a remainder of 51
Divide 221 by 51:
221 ÷ 51 = 4 with a remainder of 17
Divide 51 by 17:
51 ÷ 17 = 3 with no remainder
Therefore, the GCD of 765 and 2023 is 17.
Step 2: Divide both the numerator and denominator by the GCD (17).
765 ÷ 17 = 45
2023 ÷ 17 = 119
The simplest form of the fraction 765/2023 is 45/119.
So, the answer is 45/119.